Bernstein-Type Theorem for Zero Mean Curvature Hypersurfaces Without Time-like Points in Lorentz–Minkowski Space
Author:
Funder
Japan Society for the Promotion of Science
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00574-020-00196-8.pdf
Reference12 articles.
1. Akamine, S., Umehara, M., Yamada, K.: Space-like maximal surfaces containing entire null lines in Lorentz-Minkowski 3-space. Proc. Jpn. Acad. Ser. A. Math. Sci. 95, 97–102 (2019)
2. Akamine, S., Umehara, M., Yamada, K.: Improvement of the Bernstein-type theorem for space-like zero mean curvature graphs in Lorentz–Minkowski space using fluid mechanical duality. In: Proceedings of American Mathematical Society Series B. (2020) arXiv:1904.08046 (to appear)
3. Calabi, E.: Examples of Bernstein problems for some nonlinear equations in global analysis. In: Proc. Sympos. Pure Math., Vol. XV, Berkeley, CA, 1970, pp. 223–230. Amer. Math. Soc. Providence, RI (1968)
4. Cheng, S.Y., Yau, S.T.: Maximal space-like hypersurfaces in the Lorentz–Minkowski spaces. Ann. Math. 104, 407–419 (1976)
5. Ecker, K.: Area minimizing hypersurfaces in Minkowski space. Manuscr. Math. 56, 375–397 (1986)
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